2002301361 has 48 divisors (see below), whose sum is σ = 3155699664. Its totient is φ = 1218281472.

The previous prime is 2002301351. The next prime is 2002301417. The reversal of 2002301361 is 1631032002.

2002301361 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 301 + 361 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 251381025 + 1750920336 = 15855^2 + 41844^2 .

It is not a de Polignac number, because 2002301361 - 2⁷ = 2002301233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2002301341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3266091 + ... + 3266703.

It is an arithmetic number, because the mean of its divisors is an integer number (65743743).

Almost surely, 2^2002301361 is an apocalyptic number.

It is an amenable number.

2002301361 is a deficient number, since it is larger than the sum of its proper divisors (1153398303).

2002301361 is a wasteful number, since it uses less digits than its factorization.

2002301361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2002301361 is about 44747.0821506833. The cubic root of 2002301361 is about 1260.4041201836.

Adding to 2002301361 its reverse (1631032002), we get a palindrome (3633333363).

The spelling of 2002301361 in words is "two billion, two million, three hundred one thousand, three hundred sixty-one".